Difference between revisions of "Kernel (geometry)"
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| − | The '''kernel''' in [[geometry]] is the set of all points ''a'' such that for all points ''b'' inside a polygon ''P'', the segment ''ab'' lies entirely within ''P'' <ref>http://www.patentstorm.us/patents/7305116-claims.html</ref> | + | The '''kernel''' in [[geometry]] is the set of all points ''a'' such that for all points ''b'' inside a polygon ''P'', the segment ''ab'' lies entirely within ''P''.<ref>http://www.patentstorm.us/patents/7305116-claims.html</ref> |
| − | In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[ | + | In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[group (mathematics)|group]]s is the set of all members of the first which map to the identity of the second. Similarly, the '''kernel''' of a mapping in [[linear algebra]] from one [[vector space]] to another is the set of vectors mapped to the zero [[vector]]. |
==References== | ==References== | ||
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==See also== | ==See also== | ||
*[[operation system kernel]] | *[[operation system kernel]] | ||
| − | [[Category: | + | [[Category:Linear Algebra]] |
[[Category:Geometry]] | [[Category:Geometry]] | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
[[Category:Computer Science]] | [[Category:Computer Science]] | ||
Latest revision as of 14:35, July 28, 2016
The kernel in geometry is the set of all points a such that for all points b inside a polygon P, the segment ab lies entirely within P.[1]
In abstract algebra, the kernel of a function between two groups is the set of all members of the first which map to the identity of the second. Similarly, the kernel of a mapping in linear algebra from one vector space to another is the set of vectors mapped to the zero vector.